1099519680 has 224 divisors, whose sum is σ = 4023360000. Its totient is φ = 249200640.

The previous prime is 1099519657. The next prime is 1099519691. The reversal of 1099519680 is 869159901.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879696 + ... + 880944.

Almost surely, 2^1099519680 is an apocalyptic number.

1099519680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011680000).

1099519680 is an abundant number, since it is smaller than the sum of its proper divisors (2923840320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1099519680 is a wasteful number, since it uses less digits than its factorization.

1099519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 48.

The square root of 1099519680 is about 33159.0060164656. The cubic root of 1099519680 is about 1032.1298436471.

The spelling of 1099519680 in words is "one billion, ninety-nine million, five hundred nineteen thousand, six hundred eighty".